Question

Find the error in the calculated value of the volume of a sphere, if the error in the measurement of radius is $1\%$ .

• A. $1\%$
• B. $3\%$
• C. $5\%$
• D. $7\%$

Answer 1

Answer: (B)

Volume of a sphere is given as $V=\frac{4}{3}\pi r^3$
$\therefore \%$ error is volume $=3\times \%$ error in radius $=3\times 1=3\%$